# Accession Number:

## AD0614375

# Title:

## SCATTERING, WEAK DECAYS, AND FINAL-STATE INTERACTIONS IN MODEL THEORIES IN A DRESSEDPARTICLE PICTURE,

# Descriptive Note:

# Corporate Author:

## NEW YORK UNIV N Y

# Personal Author(s):

# Report Date:

## 1962-07-17

# Pagination or Media Count:

## 9.0

# Abstract:

Elastic and inelastic collisions in the Lee model are treated in a dressed-particle picture. The procedure by which the renormalization constant Z disappears from the integral equations for the transition matrix is studied in detail. A new procedure is given for obtaining the exact transition matrix for N - theta scattering. A hypothetical fermion B is introduced and the decays B to N theta B to V theta, as well as the decay in the Goldberger-Treiman model are studied in the dressedparticle picture. The iterative expansion of the B to V theta decay amplitude is obtained and is shown to agree with the renormalized power series for this decay, though such is not the case for B to N theta decay, or the decay in the Goldberger-Treiman model. It is shown that in the final-state interaction of B to V theta decay, there are cancellation effects between one-and two-meson contributions, which are crucial in avoiding divergences. Author